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Finding the Third Proportional to 14,154.75 and 27,952.59

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Solution

The third proportional to 14,154.75 and 27,952.59 is: 55,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.75 : 27,952.59 = 27,952.59 : x
  2. Step 2: Convert to fraction form
    14,154.75/27,952.59 = 27,952.59/x
  3. Step 3: Cross multiply
    14,154.75x = 27,952.59 × 27,952.59
  4. Step 4: Simplify right side
    14,154.75x = 781,347,497.35
  5. Step 5: Solve for x
    x = 781,347,497.35/14,154.75
  6. Step 6: Final answer
    x = 55,200.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.